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nguyen can earn $5 and hour for working at the college library and $9 an hour for construction work. To save time for study, he wants to limit his work to 20 hours a week but still earn more than $125. how many hours can he work in the library?

Respuesta :

berkayyakut96

Answer:

The answer is 13 days.

Step-by-step explanation:

Let's call the days he can work in the library x.

The days he can work in construction work is 20-x. Then x days per 5$ plus (20-x) days per 9$ should be bigger than 125$.

[tex]5x+9(20-x)>125[/tex]

[tex]5x+180-9x>125[/tex]

[tex]55>4x[/tex] therefore [tex]13,75>x[/tex]

Since x must be integer, the biggest we choose is 13.

To crosscheck

[tex]13.5=65[/tex] → [tex](20-13).9=63[/tex] → [tex]65+63=128[/tex]

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